I have a drawing that is $7.2$ cm tall. The original drawing used a scale of $1$ cm: $13$ inches. According to that scale the object would be $7$ ft. $8$ in. tall in real life. How do I figure out what scale to use to make it $5$ feet tall?
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It is unclear from the question what is to be altered. Here are a couple of alternatives:-
Keep the scale the same and redraw the object. Then you would need a height of $\frac{60}{13}=4.6$ cm.
Keep the drawing the same and state a new scale. Then a drawing of 7.2 cm would represent 60 inches and so the scale would be 1 cm :8.33 inches.
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My answer was what you said 1cm:8.33 inches but the teacher said that I can't have a repeating number as a measure and to use cm:ft instead of cm:in. That makes no sense to me and i'm completely lost. – April Weaver Nov 23 '17 at 13:07
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The original question is Cate drew an animal that she wants to create. She said that it would obviously be bigger than the drawing because she used a scale of 1cm:13 inches. Based upon Cate's drawing how tall would this animal be in real life? The drawing is 7.2 cm tall so I came up with 7 ft. 8 in. tall which the teacher said was correct. The next question that i'm stuck on is Libby suggested they try to make the new animal exactly 5 ft tall. What scale should they use to go with her idea? I can only come up with an answer with a repeating number. – April Weaver Nov 23 '17 at 13:10
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In that case, I am also stuck! Whether you use inches or feet you will have a recurring decimal because the number 72 (from the 7.2) has a factor of 9. A sensible response would be to use a scale of 1cm:8.3 inches. this gives an answer extremely close to 5 foot. – Nov 23 '17 at 14:46